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Finding the Third Proportional to 582.19 and 861.84

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Solution

The third proportional to 582.19 and 861.84 is: 1,275.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.19 : 861.84 = 861.84 : x
  2. Step 2: Convert to fraction form
    582.19/861.84 = 861.84/x
  3. Step 3: Cross multiply
    582.19x = 861.84 × 861.84
  4. Step 4: Simplify right side
    582.19x = 742,774.65
  5. Step 5: Solve for x
    x = 742,774.65/582.19
  6. Step 6: Final answer
    x = 1,275.83

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.